dy 2. 7x 2y =

Q: dy 1+y+1

A: We know. ∫xndx=xn+1n+1 for any real number n. ∫dxx=lnx

Q: (х+2)? x? - 4 dy 2y + dx х* — 4 |

A: dydx+2yx2-4=x+22x2-4

Q: 4+ Vx dx 7.

A:

Q: (» — у + 3) da — (ӕ — у) dy — 0

A: Exact differential Equation: A differential equation of the form M dx + N dy=0 is said to be exact…

Q: Calculate d2y dx2. y = −4x2 + 7x

A:

Q: 1. х3dх — узdy %3 3ху(ydx — хdу)

A:

Q: dy/dx+3y=2

A: Given query is to find solu of the differential equation.

Q: Find dy dx 5x 11 100

A: The given function is: y=5x8   As we know that; The Power law; ddxxn=nxn-1 And a·f'=a·f'

Q: Evaluate: (4x²yz - 2) dz dy dx

A: Given :∫23∫-14∫104x2yz-z44dzdydx

Q: find d^2y/dx^2 if y= 17/ x^3

A:

Q: Vx+1 3. у 3D dy x+1 dx 12/09/2021

A: Find the derivative of  y= (√(x+1)/(x+1))2

Q: Find dy whe x+2 2.

A:

Q: (6х + у?)dx + (2ху — Зу?)dy %3D0 |

A:

Q: dy + (1x – 7)y = 2x7 dx

A:

Q: dy ー1

A: Given:

Q: dy 1. Á + 6A

A:

Q: 2 16e2=" dr dy 0.

A: Given:- Evaluating the integral by reversing the order of integration ∫02∫y216 e2x2 dx dy

Q: ex dx 8. 1+ e2x

A: Given; I=∫ex1+e2xdx   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: dy Ry (16-4) dt

A: Given the differential equation dydt=ky16-y, which models the population after the year 1925. Also…

Q: dy (4х + у + 1)? dx

A:

Q: 4 Solve ædy = (3xy – 6y)dx

A:

Q: Find dly/dx y = Xu15て 1t. y = 12x5%3 9

A:

Q: . dx D. 4t + 7) dt 22. 4 + dx х

A:

Q: dy 2x2y+y 二 dx

A:

Q: S (Vx² + 1) dx 4 2

A:

Q: dy/dx = 3xy/(x^2-y^2)

A: Given a differential equation, dydx=3xyx2-y2. Clearly, the above equation is a homogeneous equation…

Q: dx 4 ex

A: To evaluate: I=∫ex2e2x−4ex−1dx Assume, ex=t ⇒exdx=dt

Q: find d^2y/dx^2: y^3=4x^6

A:

Q: dy 1 if y = dz 219

A: Given that: y=12x+9

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: dy 2 dx x2+4

A: Given:  dydx=2x2+4 To Find: To solve the given differential equation

Q: Find (5z" + 7æ°)dx

A:

Q: Sx² ex dx

A:

Q: find d^2y/dx^2 x^3 +y^3=2

A: The given function is x3 + y3 = 2. Differentiate the given function with respect to x as follows.

Q: dy dx yet+y · ||

A: CONCEPT: We have to solve given first order differential equation. We can use variable seprable…

Q: dy 9ху — 5у dx

A:

Q: dy (4xy + dx (2x2

A: Given differential equation is: dydx+4xy+1x2x2-1=0 The above equation can be re-written as follows:…

Q: dy + (1x dx 7)y = 2x°

A:

Q: dy 12

A:

Q: 4. Calculate | (6x? + 2ry + 3y?) dx dy.

A: Proceed as shown...

Q: 2x 3 L* (6- 22 – 3y) dz • dy

A:

Q: dy 1) +y = 20+ 10x dx

A: This is the first order linear differential equation.

Q: dx 4x+6у+5 dy Зу+2х+4

A:

Q: dy _ y = 2lnx dx

A:

Q: 2r – 1 dr = ar" + dx" +C.

A: Integrate the function using basic method. Keep the function in power term. And then compare.

Q: S xVx – 1 dx =

A:

Q: If y =3 √3x2 − 10x + 6 , find dy/dx

A: To find derivative of the given function.

Q: +7) dy dx 4x+

A: Evaluate the given integral as follows. ∫02∫x22x4x+7 dy dx=∫02∫x22x4x+7 dy dx=∫024xy+7yx22x…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: